Find all local extreme values of f(x)=23x3+10x242x+70\displaystyle {f{{\left({x}\right)}}}=-\frac{{2}}{{3}}{x}^{{3}}+{10}{x}^{{2}}-{42}{x}+{70}.

The FIRST local extreme value, moving from left to right on the graph, is a at .

 

The SECOND extreme value, moving from left to right on the graph, is a at .